3 papers
math.MG2026
Metric complexity is a Bryant--Tupper diversity
Gautam Aishwarya, Dongbin Li, Mokshay Madiman +1
The metric complexity (sometimes called Leinster--Cobbold maximum diversity) of a compact metric space is a recently introduced isometry-invariant of compact metric spaces which ge…
math.PR2025
Stein's method, Markov processes, and linear eigenvalue statistics of random matrices
David Grzybowski, Mark Meckes
We show how the infinitesimal exchangeable pairs approach to Stein's method combines naturally with the theory of Markov semigroups. We present a multivariate normal approximation…
math.MG2025
Magnitude and matrix inequalities
Kiyonori Gomi, Mark Meckes
We present several applications of matrix-theoretic inequalities to the magnitude of metric spaces. We first resolve an open problem by showing that the magnitude of any finite met…